Combinatorics

Authors and titles for math.CO in Feb 2023

[1]  arXiv:2302.00031 [pdf, other]

Title: A new proof of the bunkbed conjecture in the $p\uparrow 1$ limit

Authors: Lawrence Hollom

Comments: 7 pages

Subjects: Combinatorics (math.CO); Probability (math.PR)

[2]  arXiv:2302.00034 [pdf, ps, other]

Title: On the order of semiregular automorphisms of cubic vertex-transitive graphs

Authors: Marco Barbieri, Valentina Grazian, Pablo Spiga

Comments: 20 pages

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[3]  arXiv:2302.00080 [pdf, ps, other]

Title: Rainbow Hamilton cycle in hypergraph system

Authors: Yucong Tang, Bin Wang, Guanghui Wang, Guiying Yan

Comments: arXiv admin note: substantial text overlap with arXiv:2005.05291, arXiv:1411.4957, arXiv:1606.05616 by other authors

Subjects: Combinatorics (math.CO)

[4]  arXiv:2302.00143 [pdf, ps, other]

Title: How many Dice Rolls Would It Take to Reach Your Favorite Kind of Number?

Authors: Lucy Martinez, Doron Zeilberger

Comments: 10 pages

Subjects: Combinatorics (math.CO)

[5]  arXiv:2302.00199 [pdf, ps, other]

Title: Adjacency matrices over a finite prime field and their direct sum decompositions

Authors: Akihiro Higashitani, Yuya Sugishita

Comments: 17 pages, 2 figures, 3 tables. Comments are welcome

Subjects: Combinatorics (math.CO)

[6]  arXiv:2302.00343 [pdf, ps, other]

Title: Flag-accurate arrangements

Authors: Paul Mücksch, Gerhard Roehrle, Tan Nhat Tran

Comments: 53 pages

Subjects: Combinatorics (math.CO)

[7]  arXiv:2302.00352 [pdf, other]

Title: Flip-width: Cops and Robber on dense graphs

Authors: Szymon Toruńczyk

Comments: 80 pages

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Data Structures and Algorithms (cs.DS); Logic in Computer Science (cs.LO)

[8]  arXiv:2302.00357 [pdf, ps, other]

Title: Multidimensional Rogers-Ramanujan type identities with parameters

Authors: Chuanan Wei, Yuanbo Yu, Guozhu Ruan

Subjects: Combinatorics (math.CO)

[9]  arXiv:2302.00408 [pdf, ps, other]

Title: Covering shrinking polynomials by quasi progressions

Authors: Norbert Hegyvári

Comments: 10 pages comments are welcome

Subjects: Combinatorics (math.CO); Number Theory (math.NT)

[10]  arXiv:2302.00645 [pdf, ps, other]

Title: A combinatorial proof of a partition perimeter inequality

Authors: Hunter Waldron

Comments: version to be submitted

Subjects: Combinatorics (math.CO)

[11]  arXiv:2302.00708 [pdf, ps, other]

Title: Parity of the coefficients of certain eta-quotients, II: The case of even-regular partitions

Authors: William J. Keith, Fabrizio Zanello

Comments: Minor revisions. To appear in the J. of Number Theory

Journal-ref: J. Number Theory 251 (2023), 84--101

Subjects: Combinatorics (math.CO); Commutative Algebra (math.AC); Number Theory (math.NT)

[12]  arXiv:2302.00745 [pdf, ps, other]

Title: Erdős-Ko-Rado theorem in Peisert-type graphs

Authors: Chi Hoi Yip

Comments: 10 pages, typos corrected

Journal-ref: Canad. Math. Bull. 67(1), 2024, pp. 176-187

Subjects: Combinatorics (math.CO)

[13]  arXiv:2302.00754 [pdf, ps, other]

Title: On the real-rootedness of the Eulerian transformation

Authors: Christos A. Athanasiadis

Comments: Extensively revised version which includes a proof of Conjecture 1 of [P. Br"and'en and K. Jochemko, The Eulerian transformation, Trans. Amer. Math. Soc. 375 (2022), 1917--1931]

Subjects: Combinatorics (math.CO)

[14]  arXiv:2302.00835 [pdf, other]

Title: Diminimal families of arbitrary diameter

Authors: Luiz Emilio Allem, Rodrigo Orsini Braga, Carlos Hoppen, Elismar da Rosa Oliveira, Lucas Siviero Sibemberg, Vilmar Trevisan

Comments: 29 pages, 10 figures

Subjects: Combinatorics (math.CO)

[15]  arXiv:2302.00851 [pdf, ps, other]

Title: Rainbow triangles sharing one common vertex or edge

Authors: Xiaozheng Chen, Bo Ning

Comments: 17 pages

Subjects: Combinatorics (math.CO)

[16]  arXiv:2302.00874 [pdf, ps, other]

Title: Minimal homogeneous and noncrossing chain decompositions of posets

Authors: Ricky X. F. Chen

Comments: comments are welcome

Subjects: Combinatorics (math.CO); Optimization and Control (math.OC)

[17]  arXiv:2302.00900 [pdf, other]

Title: Connectedness of friends-and-strangers graphs of complete bipartite graphs and others

Authors: Lanchao Wang, Junying Lu, Yaojun Chen

Subjects: Combinatorics (math.CO)

[18]  arXiv:2302.00929 [pdf, ps, other]

Title: A hook formula for eigenvalues of k-point fixing graph

Authors: Mahdi Ebrahimi

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[19]  arXiv:2302.00946 [pdf, ps, other]

Title: Mycielskian of Signed Graphs

Authors: Albin Mathew, Germina K. A.

Subjects: Combinatorics (math.CO)

[20]  arXiv:2302.00959 [pdf, ps, other]

Title: Tilings of damaged hexagons

Authors: Markus Fulmek

Subjects: Combinatorics (math.CO)

[21]  arXiv:2302.00994 [pdf, other]

Title: Symmetries of the Woolly Hat graphs

Authors: Leah Wrenn Berman, Hiroki Koike, Elias Mochan, Alejandra Ramos-Rivera, Primoz Sparl, Stephen E. Wilson

Comments: 26 pages

Subjects: Combinatorics (math.CO)

[22]  arXiv:2302.01069 [pdf, ps, other]

Title: Cheeger inequalities on simplicial complexes

Authors: Jürgen Jost, Dong Zhang

Comments: Comments are welcome

Subjects: Combinatorics (math.CO); Geometric Topology (math.GT); Metric Geometry (math.MG); Spectral Theory (math.SP)

[23]  arXiv:2302.01091 [pdf, ps, other]

Title: Vector Partition Identities for $2$D, $3$D and $n$D Lattices

Authors: Geoffrey B. Campbell

Comments: 97 pages, 3 figures, to be submitted as several chapters to be published in the book "Vector Partitions Visible Points and Ramanujan Functions" (Taylor & Francis 2023)

Subjects: Combinatorics (math.CO)

[24]  arXiv:2302.01126 [pdf, ps, other]

Title: Strong domination number of Hajós sum and vertex-sum of two graphs

Authors: Nima Ghanbari, Saeid Alikhani

Comments: 11 pages, 5 figures

Subjects: Combinatorics (math.CO)

[25]  arXiv:2302.01137 [pdf, other]

Title: Friendly paths for finite subsets of plane integer lattice. I

Authors: Giedrius Alkauskas

Comments: 19 pages, 13 figures, 2 tables

Subjects: Combinatorics (math.CO)